3 papers
math.GR2025
Boundary actions of outer automorphism groups of Thompson-like groups
Chris Bruce, Xin Li, Takuya Takeishi
For every Cuntz--Krieger groupoid, we show that there is a topologically free boundary action of the outer automorphism group of its topological full group on the Hilbert cube. In…
math.OA2019
Partition functions as C*-dynamical invariants and actions of congruence monoids
Chris Bruce, Marcelo Laca, Takuya Takeishi
We study the phase transition of KMS states for the C*-algebras of -semigroups of algebraic integers in which the multiplicative part is restricted to a congruence monoid, as…
math.OA2013
On Nuclearity of -algebras of Fell bundles over étale groupoids
Takuya Takeishi
In this paper, we show that if E is a Fell bundle over an amenable étale locally compact Hausdorff groupoid such that every fiber on the unit space is nuclear, then is a…